Optimal Control of a Single-Server Queue with Balking and Reneging

Joseph D. Blackburn
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Joseph D. Blackburn: University of Chicago

Management Science, 1972, vol. 19, issue 3, 297-313

Abstract: We consider the problem of controlling a single-server queue by turning the server on and off. In addition to a Poisson arrival process and general service-time distribution, provisions for balking and reneging are included in the models, yielding a variety of applications. Stationary optimal policies which maximize expected discounted reward over an infinite horizon are shown to have a simple critical-number characterization. Algorithms for computing the critical numbers are described.

Date: 1972
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:19:y:1972:i:3:p:297-313

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